A force F acting on an object varies with distance x as shown in the figure. The force is in N and x in m. The work done by the force in moving the object from x = 0 to x = 6 m is
13.5 J
10 J
15 J
20 J
A body is moved along a straight line by a machine delivering constant power. The distance travelled by the body in time t is proportional to
t1/2
t
t3/2
t2
C.
t3/2
P = power; v = Velocity; M = mass; F = Force
We know
P = v. F
= v. Ma
= v. M
P = v.
now P/M being constant gives
Since is constant
= s
= s
Now we know that is constant
t3/2 ∝ s
A body is projected horizontally with a velocity 4 m/sec. The velocity of the body after 0.7 seconds will be nearly ( Take g = 10 m/sec2 )
10 m/sec
9 m/sec
19 m/sec
11 m/sec
Three equal weights of 3 kg each are hanging on a string passing over a frictionless pulley as shown in figure. The tension in the string between masses II and III will be ( Take g = 10 m/sec2 )
5 N
6 N
10 N
20 N
A ball is bouncing down a flight of stairs. The coefficient of restitution is e. The height of each step is d and the ball descends one step each bounce. After each bounce it rebounds to a height h above the next lower step. The height is large enough compared with the width of step so that the impacts are effectively head-on. Find the relationship between h and d.
h =
h =
h =
h =
A wire of length l and mass m is bent in the form of a semicircle. The gravitational field intensity at the centre of semicircle is
along x - axis
along y-axis
along y-axis
along x-axis
Assertion: Generally the path of a projectile from the earth is parabolic but it is elliptical for projectiles going to a very great height.
Reason: Up to ordinary height the projectile moves under a uniform gravitational force, but for great heights, projectile moves under a variable force.
If both assertion and reason are true and reason is the correct explanation of assertion
If both assertion and reason are true but reason is not the correct explanation of assertion
If assertion is true but reason is false
If both assertion and reason are false.
Assertion: Angular speed of a planet around the sun increases, when it is closer to the sun.
Reason: Total angular momentum of the system remains constant.
If both assertion and reason are true and reason is the correct explanation of assertion
If both assertion and reason are true but reason is not the correct explanation of assertion
If assertion is true but reason is false
If both assertion and reason are false
Assertion: Impulsive force is large and acts for a short time.
Reason: Finite change in momentum should be produced by the force.
If both assertion and reason are true and reason is the correct explanation of assertion
If both assertion and reason are true but reason is not the correct explanation of assertion
If assertion is true but reason is false
If both assertion and reason are false